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Finding the Fourth Proportional to 20,092.20, 30,131.10 and 10,228.20

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Solution

The fourth proportional to 20,092.20, 30,131.10 and 10,228.20 is: 15,338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.20 : 30,131.10 = 10,228.20 : x
  2. Step 2: Convert to fraction form
    20,092.20/30,131.10 = 10,228.20/x
  3. Step 3: Cross multiply
    20,092.20x = 30,131.10 × 10,228.20
  4. Step 4: Simplify right side
    20,092.20x = 308,186,917.02
  5. Step 5: Solve for x
    x = 308,186,917.02/20,092.20
  6. Step 6: Final answer
    x = 15,338.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.